Question 326917
{{{N(N+1)=71+N+N+1}}}
{{{N^2+N=2N+72}}}
{{{N^2-N-72=0}}}
{{{(N-9)(N+8)=0}}}
Two solutions:
{{{N-9=0}}}
{{{N=9}}} 
Then the integers are 9 and 10.
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{{{N+8=0}}}
{{{N=-8}}}
Then the integers are -8 and -7.